3 years ago

Solve p/q=r/s solve for p

Mathematics

1 answer:

IrinaVladis [17]3 years ago

3 0

P/q=r/s
×q ×q
p=q(r/s)

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oee [108]

Hi!

$for \ x=4\rightarrow y=\frac{1}{4}\cdot4+1=1+1=\boxed2\\\\for \ x=8\rightarrow y=\frac{1}{4}\cdot8+1=2+1=\boxed3\\\\for \ x=12\rightarrow y=\frac{1}{4}\cdot12+1=3+1=\boxed4$

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3 years ago

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Convert (5, pi/6) to rectangular coordinates

kupik [55]

Polar coordinates are written as the distance of the point to the origin and its angle of elevation around the unit cirlce.

Draw a right triangle with an angle of $\frac{\pi}6$ and a hypotenuse with a length of 5.

You can use trigonometric ratios to find the legs of this triangle, which are the x and y coordinates of the point.

$\cos=\frac{adj}{hyp} \\\\ \cos(\frac{\pi}6)=\frac{x}5 \\\\ \frac{\sqrt{3}}2=\frac{x}5 \\\\ \frac{5\sqrt{3}}2=x$

As for y...

$\sin=\frac{opp}{hyp}\\\\\sin(\frac{\pi}6) = \frac{y}5 \\\\ \frac{1}2=\frac{y}5 \\\\ \frac{5}2=y$

$\boxed{(\frac{5\sqrt{3}}2,\ \frac{5}2)}$